Wyniki wyszukiwania

1

Kadec norms and Borel sets in a Banach space

100%

Raja M.

Studia Mathematica

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1999

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tom 136

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nr 1

1-16

EN

We introduce a property for a couple of topologies that allows us to give simple proofs of some classic results about Borel sets in Banach spaces by Edgar, Schachermayer and Talagrand as well as some new results. We characterize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Moltó, Orihuela and Troyanski.

2

Descriptive compact spaces and renorming

63%

Oncina L., Raja M.

Studia Mathematica

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2004

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tom 165

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nr 1

39-52

EN

We study the class of descriptive compact spaces, the Banach spaces generated by descriptive compact subsets and their relation to renorming problems.

3

Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces

45%

Albiac F., Ansorena J., Garrigós G., Hernández E., Raja M.

Studia Mathematica

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2015

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tom 227

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nr 2

133-140

EN

We show that in a super-reflexive Banach space, the conditionality constants $k_{N}(ℬ)$ of a quasi-greedy basis ℬ grow at most like $O((log N)^{1-ε})$ for some 0 < ε < 1. This extends results by the third-named author and Wojtaszczyk (2014), where this property was shown for quasi-greedy bases in $L_{p}$ for 1 < p < ∞. We also give an example of a quasi-greedy basis ℬ in a reflexive Banach space with $k_{N}(ℬ) ≈ log N$.

Ograniczanie wyników

3 Studia Mathematica

3 Raja M.

1 Albiac F.

1 Ansorena J.

1 Garrigós G.

1 Hernández E.

1 Oncina L.

1 2015

1 2004

1 1999

Kadec norms and Borel sets in a Banach space

Descriptive compact spaces and renorming

Conditionality constants of quasi-greedy bases in super-reflexive Banach spaces